| Budget Amount *help |
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2019: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Outline of Final Research Achievements |
We have developed a new method for all-to-all propagators which enables us to calculate HAL QCD potentials between hadrons including quark and antiquark pair creations and annihilations. The method is a combination of three techniques, the one-end trick, the sequential propagator and the covariant approximation averaging.
Using the method, we have calculated the non-local I=1 two pion potential at the next-to-next-to-leading order (NLLO) of the derivative expansion in lattice QCD, with which the I=1 two pion scattering phase shift is calculated as a function of the center of mass energy. While the phase shift from the NNLO potential reproduces the previous results at discrete energy points, our result continuously covers a much wider energy range, so that we can extracted resonance parameters of the rho meson without any assumptions.
Potentials between an arbitrary combination of two hadrons can be extracted in lattice QCD by the new method.
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